1101001001057 has 2 divisors, whose sum is σ = 1101001001058. Its totient is φ = 1101001001056.

The previous prime is 1101001001047. The next prime is 1101001001101. The reversal of 1101001001057 is 7501001001011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 626763555856 + 474237445201 = 791684^2 + 688649^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101001001057 - 2⁶ = 1101001000993 is a prime.

It is a super-2 number, since 2×1101001001057² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1101001001017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550500500528 + 550500500529.

It is an arithmetic number, because the mean of its divisors is an integer number (550500500529).

Almost surely, 2^{1101001001057} is an apocalyptic number.

It is an amenable number.

1101001001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101001001057 is an equidigital number, since it uses as much as digits as its factorization.

1101001001057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35, while the sum is 17.

Adding to 1101001001057 its reverse (7501001001011), we get a palindrome (8602002002068).

The spelling of 1101001001057 in words is "one trillion, one hundred one billion, one million, one thousand, fifty-seven".